Math Problem Statement

please solve table 3 column for proability

Please solve Table 3 column for probability.

Solution

Here are the proportions (probabilities) for each interval in Table 3:

  • 1 but less than 2: 0.0000
  • 2 but less than 3: 0.2750
  • 3 but less than 4: 0.5750
  • 4 but less than 5: 0.1250
  • 5 to 6: 0.0250

Let me know if you need further details or have any questions.

Here are 5 related questions:

  1. How do you calculate the expected value from this probability distribution?
  2. What is the variance of the averages from the rolls?
  3. Can you calculate the cumulative probability for the intervals?
  4. How would the probabilities change if you added more rolls?
  5. What is the probability of getting an average between 2.5 and 3.5?

Tip: The sum of probabilities in a distribution should always equal 1 (or 100%).

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Math Problem Analysis

Mathematical Concepts

Probability
Frequency Distribution

Formulas

Probability = (Number of Rolls in Interval) / Total Rolls

Theorems

Law of Total Probability

Suitable Grade Level

Grades 9-12